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- W1993462287 abstract "Abstract We study the finite-energy solutions of problem (1). In the first part of this Note, we consider the solutions of (1) satisfying K = M = 2 and ∫ ℝ 2 P n (|Δ u | 2 ) ℝ 2 P n (| u | 2 ), that generalizes a well-known result of Brezis, Merle, and Riviere for the classic Ginzburg-Landau system of equations in ℝ 2 . The second part is devoted to solutions of (1) satisfying ∫ ℝ K |∇ u | 2 L 3 solution of the Ginzburg-Landau system −Δ u = u (1 − | u | 2 ) in ℝ K ( K > 1) satisfying ∫ ℝ K |∇ u | 2" @default.
- W1993462287 created "2016-06-24" @default.
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- W1993462287 date "1997-09-01" @default.
- W1993462287 modified "2023-09-26" @default.
- W1993462287 title "Finite-energy solutions, quantization effects and Liouville-type results for a variant of the Ginzburg-Landau systems in ℝK" @default.
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- W1993462287 doi "https://doi.org/10.1016/s0764-4442(97)88894-5" @default.
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